2 Significant Figures in Calculations 3.1Significant Figures in CalculationsSignificant Figures in CalculationsHow does the precision of a calculated answer compare to the precision of the measurements used to obtain it?
3 Significant Figures in Calculations 3.1Significant Figures in CalculationsIn general, a calculated answer cannot be more precise than the least precise measurement from which it was calculated.The calculated value must be rounded to make it consistent with the measurements from which it was calculated.
4 Significant Figures in Calculations 3.1Significant Figures in CalculationsRoundingTo round a number, you must first decide how many significant figures your answer should have. The answer depends on the given measurements and on the mathematical process used to arrive at the answer.
7 Write down your answers. for Sample Problem 3.1Write down your answers..
8 Significant Figures in Calculations 3.1Significant Figures in CalculationsAddition and SubtractionThe answer to an addition or subtraction calculation should be rounded to the same number of decimal places (not digits) as the measurement with the least number of decimal places.
11 Write down your answers and round to The correct number of SF’s.. for Sample Problem 3.2Write down your answers and round toThe correct number of SF’s..
12 Significant Figures in Calculations 3.1Significant Figures in CalculationsMultiplication and DivisionIn calculations involving multiplication and division, you need to round the answer to the same number of significant figures as the measurement with the least number of significant figures.The position of the decimal point has nothing to do with the rounding process when multiplying and dividing measurements.
17 3.1 Section Quiz1. In which of the following expressions is the number on the left NOT equal to the number on the right? 10–8 = 4.56 10–11454 10–8 = 4.54 10–6842.6 104 = 106 106 = 4.52 109
18 3.1 Section Quiz2. Which set of measurements of a 2.00-g standard is the most precise?2.00 g, 2.01 g, 1.98 g2.10 g, 2.00 g, 2.20 g2.02 g, 2.03 g, 2.04 g1.50 g, 2.00 g, 2.50 g
19 3.1 Section Quiz3. A student reports the volume of a liquid as L. How many significant figures are in this measurement?2345